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Finding the Fourth Proportional to 10,019.54, 15,096.94 and 8,302.74

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Solution

The fourth proportional to 10,019.54, 15,096.94 and 8,302.74 is: 12,510.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.54 : 15,096.94 = 8,302.74 : x
  2. Step 2: Convert to fraction form
    10,019.54/15,096.94 = 8,302.74/x
  3. Step 3: Cross multiply
    10,019.54x = 15,096.94 × 8,302.74
  4. Step 4: Simplify right side
    10,019.54x = 125,345,967.62
  5. Step 5: Solve for x
    x = 125,345,967.62/10,019.54
  6. Step 6: Final answer
    x = 12,510.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.